46963300 has 36 divisors (see below), whose sum is σ = 103844916. Its totient is φ = 18428800.

The previous prime is 46963297. The next prime is 46963313. The reversal of 46963300 is 336964.

It can be written as a sum of positive squares in 6 ways, for example, as 4426816 + 42536484 = 2104^2 + 6522^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 870 + ... + 9730.

It is an arithmetic number, because the mean of its divisors is an integer number (2884581).

Almost surely, 2^46963300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46963300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51922458).

46963300 is an abundant number, since it is smaller than the sum of its proper divisors (56881616).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

46963300 is a wasteful number, since it uses less digits than its factorization.

46963300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8928 (or 8921 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 31.

The square root of 46963300 is about 6852.9774550921. The cubic root of 46963300 is about 360.7886516982.

The spelling of 46963300 in words is "forty-six million, nine hundred sixty-three thousand, three hundred".